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``Self-Organised Criticality'' (SOC) is the mechanism by which complex systems spontaneously settle close to a *critical point*, at the edge between stability and chaos, and characterized by fat-tailed fluctuations and long-memory…

General Finance · Quantitative Finance 2024-09-09 Jean-Philippe Bouchaud

Cortical plasticity is one of the main features that enable our ability to learn and adapt in our environment. Indeed, the cerebral cortex self-organizes itself through structural and synaptic plasticity mechanisms that are very likely at…

Neural and Evolutionary Computing · Computer Science 2020-09-03 Lyes Khacef , Laurent Rodriguez , Benoit Miramond

Critical brain hypothesis has been intensively studied both in experimental and theoretical neuroscience over the past two decades. However, some important questions still remain: (i) What is the critical point the brain operates at? (ii)…

Neurons and Cognition · Quantitative Biology 2019-12-19 Mahsa Khoshkhou , Afshin Montakhab

Evidence of critical dynamics has been recently found in both experiments and models of large scale brain dynamics. The understanding of the nature and features of such critical regime is hampered by the relatively small size of the…

Disordered Systems and Neural Networks · Physics 2019-12-04 Mahdi Zarepour , Juan I. Perotti , Orlando V. Billoni , Dante R. Chialvo , Sergio A. Cannas

Living systems operate in a critical dynamical regime -- between order and chaos -- where they are both resilient to perturbation, and flexible enough to evolve. To characterize such critical dynamics, the established 'structural theory' of…

Molecular Networks · Quantitative Biology 2022-01-28 Santosh Manicka , Manuel Marques-Pita , Luis M. Rocha

A growing body of evidence suggests that the structure of mitochondrial networks is poised near criticality, an intermediate regime lying in between order and disorder. Such description fits well with the idea that biological systems, in…

Biological Physics · Physics 2020-11-02 Nahuel Zamponi , Emiliano Zamponi , Sergio A Cannas , Dante R Chialvo

Structural plasticity of the brain describes the creation of new and the deletion of old synapses over time. Rinke et al. (JPDC 2018) introduced a scalable algorithm that simulates structural plasticity for up to one billion neurons on…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-03 Fabian Czappa , Alexander Geiß , Felix Wolf

We investigate the conditions required for general spin systems with frustration and disorder to display self-organized criticality, a property which so far has been established only for the fully-connected infinite-range…

Disordered Systems and Neural Networks · Physics 2013-08-29 Juan Carlos Andresen , Zheng Zhu , Ruben S. Andrist , Helmut G. Katzgraber , V. Dobrosavljevic , Gergely T. Zimanyi

Twenty-five years ago, Dunkelmann and Radons (1994) proposed that neural networks should self-organize to a critical state. In models, criticality offers a number of computational advantages. Thus this hypothesis, and in particular the…

Neurons and Cognition · Quantitative Biology 2019-03-14 J. Wilting , V. Priesemann

Many of life's most fascinating phenomena emerge from interactions among many elements--many amino acids determine the structure of a single protein, many genes determine the fate of a cell, many neurons are involved in shaping our thoughts…

Quantitative Methods · Quantitative Biology 2011-11-28 Thierry Mora , William Bialek

Stationarity of the constituents of the body and of its functionalities is a basic requirement for life, being equivalent to survival in first place. Assuming that the resting state activity of the brain serves essential functionalities,…

Neurons and Cognition · Quantitative Biology 2021-05-14 Claudius Gros

In this overview, we discuss the connections between the observations of critical dynamics in neuronal networks and the maximum entropy models that are often used as statistical models of neural activity, focusing in particular on the…

Neurons and Cognition · Quantitative Biology 2018-12-24 Martino Sorbaro , J. Michael Herrmann , Matthias H. Hennig

In this paper we introduce a neural network model of self-organization. This model uses a variation of Hebb rule for updating its synaptic weights, and surely converges to the equilibrium status. The key point of the convergence is the…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Carlos Domingo , Osamu Watanabe , Tadashi Yamazaki

A novel mechanism for the generation of self-organized criticality (SOC) is discussed in terms of the coupled-vibration model where the total system is forced under the uniform expansion of the Hubble type. This system shows a robust SOC…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Akira Iwamoto , Shinpei Chikazumi

Criticality has been conjectured as an integral part of neuronal network dynamics. Operating at a critical threshold requires precise parameter tuning and a corresponding mechanism remains an open question. Recent studies have suggested…

Neurons and Cognition · Quantitative Biology 2021-04-19 Nikita Gutjahr , Philipp Hövel , Aline Viol

We introduce a novel, biologically plausible local learning rule that provably increases the robustness of neural dynamics to noise in nonlinear recurrent neural networks with homogeneous nonlinearities. Our learning rule achieves higher…

Neurons and Cognition · Quantitative Biology 2022-10-12 Christopher H. Stock , Sarah E. Harvey , Samuel A. Ocko , Surya Ganguli

Recent experimental and theoretical studies have indicated that the putative criticality of cortical dynamics may corresponds to a synchronization phase transition. The critical dynamics near such a critical point needs further…

Disordered Systems and Neural Networks · Physics 2022-05-04 Mahsa Khoshkhou , Afshin Montakhab

Learning and decision making in the brain are key processes critical to survival, and yet are processes implemented by non-ideal biological building blocks which can impose significant error. We explore quantitatively how the brain might…

Neurons and Cognition · Quantitative Biology 2011-04-19 Jake Bouvrie , Jean-Jacques Slotine

Parallels between the signal processing tasks and biological neurons lead to an understanding of the principles of self-organized optimization of input signal recognition. In the present paper, we discuss such similarities among biological…

Neurons and Cognition · Quantitative Biology 2021-08-03 Oleg Nikitin , Olga Lukyanova , Alex Kunin

Interconnected ensembles of biological entities are perhaps some of the most complex systems that modern science has encountered so far. In particular, scientists have concentrated on understanding how the complexity of the interacting…

Pattern Formation and Solitons · Physics 2020-11-18 Bram A. Siebert , Cameron L. Hall , James P. Gleeson , Malbor Asllani
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